论文标题

关于粗晶片和组表示的注释

A note on coarse graining and group representations

论文作者

Bodendorfer, Norbert, Haneder, Fabian

论文摘要

最近在[1]中提出了基于SU(1,1)谎言群结构的空间均匀量子状态的粗晶状操作,并在[2]中用于计算Loop量子宇宙学的背景下的显式重态化基团流量。在本说明中,我们解释了该过程的群体理论来源,并根据这些见解概括了先前的结果。我们还强调了这些技术的群体理论来源如何暗示它们对其他谎言群体的直接概括。

A coarse graining operation of spatially homogeneous quantum states based on an SU(1,1) Lie group structure has recently been proposed in [1] and used in [2] to compute an explicit renormalisation group flow in the context of loop quantum cosmology. In this note, we explain the group theoretical origin of this procedure and generalise previous results based on these insights. We also highlight how the group theoretical origin of these techniques implies their immediate generalisation to other Lie groups.

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